%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 21:31:35 EDT 2022
% Result : Theorem 0.23s 1.36s
% Output : Proof 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.10 % Command : leancop_casc.sh %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sun May 29 08:31:56 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.23/1.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/1.36 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.30/1.37
% 0.30/1.37 %-----------------------------------------------------
% 0.30/1.37 fof(m_8_2_2, conjecture, ! [_9861, _9864, _9867] : (path_connected(_9861) & a_member_of(_9864, _9861) & a_member_of(_9867, _9861) => isomorphic_groups(first_homotop_grp(_9861, _9864), first_homotop_grp(_9861, _9867))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m_8_2_2)).
% 0.30/1.37 fof(isomorphic_groups_defn, axiom, ! [_10133, _10136] : (isomorphic_groups(_10133, _10136) <=> ? [_10154] : a_group_isomorphism_from_to(_10154, _10133, _10136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', isomorphic_groups_defn)).
% 0.30/1.37 fof(m_8_2_1, axiom, ! [_10316, _10319, _10322, _10325] : (a_path_from_to_in(_10316, _10319, _10322, _10325) => a_group_isomorphism_from_to(alpha_hat(_10316), first_homotop_grp(_10325, _10319), first_homotop_grp(_10325, _10322))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m_8_2_1)).
% 0.30/1.37 fof(path_connected_defn, axiom, ! [_10549, _10552, _10555] : (path_connected(_10549) <=> a_member_of(_10552, _10549) & a_member_of(_10555, _10549) => ? [_10590] : a_path_from_to_in(_10590, _10552, _10555, _10549)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', path_connected_defn)).
% 0.30/1.37
% 0.30/1.37 cnf(1, plain, [-(path_connected(3 ^ []))], clausify(m_8_2_2)).
% 0.30/1.37 cnf(2, plain, [-(a_member_of(4 ^ [], 3 ^ []))], clausify(m_8_2_2)).
% 0.30/1.37 cnf(3, plain, [-(a_member_of(5 ^ [], 3 ^ []))], clausify(m_8_2_2)).
% 0.30/1.37 cnf(4, plain, [isomorphic_groups(first_homotop_grp(3 ^ [], 4 ^ []), first_homotop_grp(3 ^ [], 5 ^ []))], clausify(m_8_2_2)).
% 0.30/1.37 cnf(5, plain, [-(isomorphic_groups(_3736, _3787)), a_group_isomorphism_from_to(_3897, _3736, _3787)], clausify(isomorphic_groups_defn)).
% 0.30/1.37 cnf(6, plain, [a_path_from_to_in(_4831, _4897, _4962, _5026), -(a_group_isomorphism_from_to(alpha_hat(_4831), first_homotop_grp(_5026, _4897), first_homotop_grp(_5026, _4962)))], clausify(m_8_2_1)).
% 0.30/1.37 cnf(7, plain, [path_connected(_4149), -(a_path_from_to_in(2 ^ [_4284, _4217, _4149], _4217, _4284, _4149)), a_member_of(_4217, _4149), a_member_of(_4284, _4149)], clausify(path_connected_defn)).
% 0.30/1.37
% 0.30/1.37 cnf('1',plain,[isomorphic_groups(first_homotop_grp(3 ^ [], 4 ^ []), first_homotop_grp(3 ^ [], 5 ^ []))],start(4)).
% 0.30/1.37 cnf('1.1',plain,[-(isomorphic_groups(first_homotop_grp(3 ^ [], 4 ^ []), first_homotop_grp(3 ^ [], 5 ^ []))), a_group_isomorphism_from_to(alpha_hat(2 ^ [5 ^ [], 4 ^ [], 3 ^ []]), first_homotop_grp(3 ^ [], 4 ^ []), first_homotop_grp(3 ^ [], 5 ^ []))],extension(5,bind([[_3897, _3736, _3787], [alpha_hat(2 ^ [5 ^ [], 4 ^ [], 3 ^ []]), first_homotop_grp(3 ^ [], 4 ^ []), first_homotop_grp(3 ^ [], 5 ^ [])]]))).
% 0.30/1.37 cnf('1.1.1',plain,[-(a_group_isomorphism_from_to(alpha_hat(2 ^ [5 ^ [], 4 ^ [], 3 ^ []]), first_homotop_grp(3 ^ [], 4 ^ []), first_homotop_grp(3 ^ [], 5 ^ []))), a_path_from_to_in(2 ^ [5 ^ [], 4 ^ [], 3 ^ []], 4 ^ [], 5 ^ [], 3 ^ [])],extension(6,bind([[_4831, _4897, _4962, _5026], [2 ^ [5 ^ [], 4 ^ [], 3 ^ []], 4 ^ [], 5 ^ [], 3 ^ []]]))).
% 0.30/1.37 cnf('1.1.1.1',plain,[-(a_path_from_to_in(2 ^ [5 ^ [], 4 ^ [], 3 ^ []], 4 ^ [], 5 ^ [], 3 ^ [])), path_connected(3 ^ []), a_member_of(4 ^ [], 3 ^ []), a_member_of(5 ^ [], 3 ^ [])],extension(7,bind([[_4217, _4284, _4149], [4 ^ [], 5 ^ [], 3 ^ []]]))).
% 0.30/1.37 cnf('1.1.1.1.1',plain,[-(path_connected(3 ^ []))],extension(1)).
% 0.30/1.37 cnf('1.1.1.1.2',plain,[-(a_member_of(4 ^ [], 3 ^ []))],extension(2)).
% 0.30/1.37 cnf('1.1.1.1.3',plain,[-(a_member_of(5 ^ [], 3 ^ []))],extension(3)).
% 0.30/1.37 %-----------------------------------------------------
% 0.30/1.37
% 0.30/1.37 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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